{
 "metadata": {
  "name": "simple-normalization"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from pylab import *\n",
      "import ocrolib\n",
      "from scipy.ndimage import filters,interpolation\n",
      "from scipy import stats"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 78
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "target_h = 32 # target height for line\n",
      "perc = 80 # percentile at which we score\n",
      "dest = 0.5 # destination fraction for percentile"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 130
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(8,8)\n",
      "image = 1-ocrolib.read_image_gray(\"010036.bin.png\")\n",
      "image = interpolation.affine_transform(image,array([[1,0.03],[0,1]]),offset=(-30,0),output_shape=(100,700))\n",
      "imshow(image,cmap=cm.gray)\n",
      "h,w = image.shape"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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cvXoVISEhaNKkCRQKBSIiIoy0nsrs3LkTnp6eeOmllwAYrn/69ddfY9CgQSY1GJ1Oh7i4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\nGAwGo474f+0nqATilfVjAAAAAElFTkSuQmCC\n"
      }
     ],
     "prompt_number": 131
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "smoothed = filters.gaussian_filter(image,(10,30))\n",
      "imshow(smoothed,cmap=cm.gray)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 132,
       "text": [
        "<matplotlib.image.AxesImage at 0x151cee10>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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tI893PVoLyRvS3O/D6TgPC1i6J4RJSuNFYs9TIkmKIN08t3+cx4rzMMniuD1K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\nAABJRU5ErkJggg==\n"
      }
     ],
     "prompt_number": 132
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ys = arange(len(smoothed))\n",
      "xs = arange(len(smoothed[0]))\n",
      "center = sum((smoothed*ys[:,newaxis]),axis=0)/sum(smoothed,axis=0)\n",
      "plot(center)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 133,
       "text": [
        "[<matplotlib.lines.Line2D at 0x151deed0>]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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fS0qphQvDwrAHH4QPP4S+feHkk+G446BatdjplFYWZUmp9+678NBDoUAvWgR9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\nhf+WdN45zwAAAABJRU5ErkJggg==\n"
      }
     ],
     "prompt_number": 133
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "p = polyfit(xs,center,1)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 134
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(center)\n",
      "plot(polyval(p,xs))\n",
      "print p\n",
      "m,b = p"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[ -2.73499420e-02   4.91159095e+01]\n"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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2tYiD2XVmF3VHR3NmS2VWvzuUkDJZzY4kInai9rWIgymZpyS7XttAcNg1Ko2s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\nhDRlIYQQYoP4Aw6TBwuYbK0+AAAAAElFTkSuQmCC\n"
      }
     ],
     "prompt_number": 135
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(18,10)\n",
      "imshow(image,cmap=cm.gray)\n",
      "plot(polyval(p,xs))\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 136,
       "text": [
        "[<matplotlib.lines.Line2D at 0x152a5190>]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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ysmAwGEIqo5qamuB2u0M+6wcOHMBzzz3HExiazWacOHEChw4dgqIoyM7O5ooG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\nOQCEVNoFYrPZMG3aNMTGxgb1cX/fATE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dINFftJbtmpoa1NXVYerUqbr+YwLMhAkTeGzj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\nAAAAAADEw08BfRgzHVI0YwAAAABJRU5ErkJggg==\n"
      }
     ],
     "prompt_number": 136
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ys = (image>0.5)*(arange(h)[:,newaxis]-polyval(p,xs)[newaxis,:])\n",
      "d = stats.scoreatpercentile(abs(ys[image>0.5]),90)\n",
      "print d"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "9.32206143538\n"
       ]
      }
     ],
     "prompt_number": 137
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "scale = d/((target_h/2)*dest)\n",
      "print scale"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "1.16525767942\n"
       ]
      }
     ],
     "prompt_number": 138
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print b,target_height/2,(target_height/2)/scale\n",
      "offset = b-scale*target_h/2\n",
      "print b*scale-offset"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "49.1159094839 16 13.7308685302\n",
        "26.7609040948\n"
       ]
      }
     ],
     "prompt_number": 139
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "output = interpolation.affine_transform(image,array([[scale,scale*m],[0,scale]]),offset=(offset,0),output_shape=(target_h,int(w/scale)))\n",
      "imshow(output)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 142,
       "text": [
        "<matplotlib.image.AxesImage at 0x15dbb550>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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oIRNlvgEuBTPjwu1KoaQsMoMerISaIxCkLgWBCigITODzJrBQEPm0IlhmohIl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CDpi/BK3+VUKXFaOobwuupul2UmKRuapKZtAuV6L9aQKhTrKI6AOcMbjDxiv4Ij2J4F5p6jOsHF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\n3JSVhndU/JbrKp4l0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39LOi9QcPnll2Oas5snn3nmmYt/ixSSPDCuVbGPVawJHCQaOQNe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\nrljwKvd/9nvsmL+cr/zro8TfyyNVF3Aix/L73R5Jme4aACLws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      }
     ],
     "prompt_number": 142
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}